Existence of Solutions to the Non-Self-Adjoint Sturm–Liouville Problem with Discontinuous Nonlinearity

Pub Date : 2024-07-18 DOI:10.1134/s0965542524700489

O. V. Baskov, D. K. Potapov

引用次数: 0

Abstract

We examine the existence of solutions to the Sturm–Liouville problem with a non-self-adjoint differential operator and discontinuous nonlinearity in the phase variable. For positive values of the spectral parameter, theorems on the existence of nontrivial (positive and negative) solutions of the problem are proved. Examples illustrating the theorems are given.

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具有非连续非线性的非自交 Sturm-Liouville 问题的解的存在性

摘要我们研究了Sturm-Liouville问题的解的存在性，该问题具有非自相交微分算子和相变的不连续非线性。对于谱参数的正值，证明了问题的非微分（正解和负解）解的存在性定理。给出了说明定理的示例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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